Highest Common Factor of 3394, 8888, 33527 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 3394, 8888, 33527 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3394, 8888, 33527 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 3394, 8888, 33527 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 3394, 8888, 33527 is 1.
HCF(3394, 8888, 33527) = 1
HCF of 3394, 8888, 33527 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3394, 8888, 33527 is 1.
Highest Common Factor of 3394,8888,33527 is 1
Step 1: Since 8888 > 3394, we apply the division lemma to 8888 and 3394, to get
8888 = 3394 x 2 + 2100
Step 2: Since the reminder 3394 ≠ 0, we apply division lemma to 2100 and 3394, to get
3394 = 2100 x 1 + 1294
Step 3: We consider the new divisor 2100 and the new remainder 1294, and apply the division lemma to get
2100 = 1294 x 1 + 806
We consider the new divisor 1294 and the new remainder 806,and apply the division lemma to get
1294 = 806 x 1 + 488
We consider the new divisor 806 and the new remainder 488,and apply the division lemma to get
806 = 488 x 1 + 318
We consider the new divisor 488 and the new remainder 318,and apply the division lemma to get
488 = 318 x 1 + 170
We consider the new divisor 318 and the new remainder 170,and apply the division lemma to get
318 = 170 x 1 + 148
We consider the new divisor 170 and the new remainder 148,and apply the division lemma to get
170 = 148 x 1 + 22
We consider the new divisor 148 and the new remainder 22,and apply the division lemma to get
148 = 22 x 6 + 16
We consider the new divisor 22 and the new remainder 16,and apply the division lemma to get
22 = 16 x 1 + 6
We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get
16 = 6 x 2 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3394 and 8888 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(22,16) = HCF(148,22) = HCF(170,148) = HCF(318,170) = HCF(488,318) = HCF(806,488) = HCF(1294,806) = HCF(2100,1294) = HCF(3394,2100) = HCF(8888,3394) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 33527 > 2, we apply the division lemma to 33527 and 2, to get
33527 = 2 x 16763 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 33527 is 1
Notice that 1 = HCF(2,1) = HCF(33527,2) .
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Frequently Asked Questions on HCF of 3394, 8888, 33527 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 3394, 8888, 33527?
Answer: HCF of 3394, 8888, 33527 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3394, 8888, 33527 using Euclid's Algorithm?
Answer: For arbitrary numbers 3394, 8888, 33527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
